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Finding the Third Proportional to 135,958.50 and 204,059.25

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Solution

The third proportional to 135,958.50 and 204,059.25 is: 306,271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,958.50 : 204,059.25 = 204,059.25 : x
  2. Step 2: Convert to fraction form
    135,958.50/204,059.25 = 204,059.25/x
  3. Step 3: Cross multiply
    135,958.50x = 204,059.25 × 204,059.25
  4. Step 4: Simplify right side
    135,958.50x = 41,640,177,510.56
  5. Step 5: Solve for x
    x = 41,640,177,510.56/135,958.50
  6. Step 6: Final answer
    x = 306,271.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.